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Bounds For Multilinear Sublevel Sets Via Szemeredi's Theorem
Multilinear Sublevel Sets Szemeredi's Theorem Classical Analysis and ODEs
2011/9/5
Abstract: In 2005, Li, Tao, Thiele and the author raised a general question concerning upper bounds for a class of multilinear oscillatory integral operators, and established such bounds in a few case...
Bounds on oscillatory integral operators based on multilinear estimates
oscillatory integral operators multilinear estimates
2011/2/22
Let S ⊂ Rn be a smooth, compact hyper-surface with positive definite second fundamental form. Let σ be its surface measure.We prove the following result with respect to the Fourier restriction/e...
Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2
self-repelling random motion diffusion in random environment super-diffusivity
2011/2/28
We consider two models of random diffusion in random environment in two dimensions. The first example is the self-repelling Brownian polymer, this describes a diffusion pushed by the negative gradient...
Explicit Bounds on Some Nonlinear Retarded Integral Inequalities
Integral inequality retarded nonlinear explicit bound
2010/1/25
In this paper some new retarded integral inequalities are established and explicit bounds on the unknown functions are derived. The present results extend some existing ones proved by Lipovan in [A re...